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  <doi_batch_id>aspg-21-3423-1791475511</doi_batch_id>
  <timestamp>20261008160511</timestamp>
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  <journal>
   <journal_metadata language="en">
    <full_title>International Journal of Neutrosophic Science</full_title>
    <abbrev_title>IJNS</abbrev_title>
    <issn media_type="print">2692-6148</issn>
    <issn media_type="electronic">2690-6805</issn>
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   <journal_issue>
    <publication_date media_type="online">
     <year>2025</year>
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    <journal_volume>
     <volume>25</volume>
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    <issue>4</issue>
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   <journal_article publication_type="full_text">
    <titles>
     <title>Ideals and filters on intuitionistic fuzzy lattices</title>
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    <contributors>
     <person_name sequence="first" contributor_role="author">
      <given_name>Abdelhamid</given_name>
      <surname>Bennoui</surname>
      <affiliations>
       <institution>
        <institution_name>Department of Mathematics, University Center of Barika, Amdoukal Road, Barika, 05001, Algeria</institution_name>
       </institution>
      </affiliations>
     </person_name>
     <person_name sequence="additional" contributor_role="author">
      <given_name>Soheyb</given_name>
      <surname>Milles</surname>
      <affiliations>
       <institution>
        <institution_name>Department of Mathematics, University Center of Barika, Amdoukal Road, Barika, 05001, Algeria</institution_name>
       </institution>
      </affiliations>
     </person_name>
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      <given_name>Lemnaouar</given_name>
      <surname>Zedam</surname>
      <affiliations>
       <institution>
        <institution_name>University of M’sila, University Pole, Road Bourdj Bou Arreiridj, M’sila 28000, Algeria; KERMIT, Department of Data Analysis and Mathematical Modelling, Ghent University, Belgium</institution_name>
       </institution>
      </affiliations>
     </person_name>
    </contributors>
    <jats:abstract>
     <jats:p>Based on the concept of Atanassov’s intuitionistic fuzzy set on a universe X, we introduce the concepts of intuitionistic fuzzy ideals and intuitionistic fuzzy filters on an intuitionistic fuzzy lattice. More specifically, we provide characterizations of these concepts in terms of the intuitionistic fuzzy lattice meet and join operations, in terms of some associated fuzzy sets, as well as, in terms of their crisp level sets. Furthermore, we introduce the concepts of prime intuitionistic fuzzy ideals (resp. filters) as interesting kinds, and investigate their various properties and characterizations.</jats:p>
    </jats:abstract>
    <publication_date media_type="online">
     <year>2025</year>
    </publication_date>
    <pages>
     <first_page>80</first_page>
     <last_page>100</last_page>
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     <item_number item_number_type="article-number">3423</item_number>
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     <doi>10.54216/IJNS.250408</doi>
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